10819733130 has 192 divisors, whose sum is σ = 30719733408. Its totient is φ = 2631352320.

The previous prime is 10819733077. The next prime is 10819733131. The reversal of 10819733130 is 3133791801.

10819733130 is a `hidden beast` number, since 108 + 197 + 331 + 30 = 666.

10819733130 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 3745072809 + 7074660321 = 61197^2 + 84111^2 .

It is not an unprimeable number, because it can be changed into a prime (10819733131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10851792 + ... + 10852788.

Almost surely, 2^10819733130 is an apocalyptic number.

10819733130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10819733130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15359866704).

10819733130 is an abundant number, since it is smaller than the sum of its proper divisors (19900000278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10819733130 is a wasteful number, since it uses less digits than its factorization.

10819733130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10819733130 in words is "ten billion, eight hundred nineteen million, seven hundred thirty-three thousand, one hundred thirty".